Answer:
Rita earns 10 points at the end of the play.
Bernie losses 35 points.
Step-by-step explanation:
Rita earns 6 points 3 time and loses 4 points twice
6 * 3 = 18
4 * 2 = 8
18 - 8 = 10 points
Bernie get bonus of 15 points
looses 25 points twice
15 - (25 * 2) = -35 points
We invested $10000 into two bank accounts. One account earns 14% per year, the
other account earns 8% per year. How much did we invest into each account if after
the first year, the combined interest from the two accounts is $1238?
HELP ME
Answer:
Hi, there--
THE PROBLEM:
We invested $10,000 in 2 bank accounts. One account earns 14% per year the other earns 8%
per year. How much did we invest into each account if after the first year, the combined
interest from the 2 accounts is $1238?
A SOLUTION:
Define Variables:
Let x be the amount you originally invested in the first account.
Let y be the amount you originally invested in the second account.
Write Expressions and Equations:
Since you invested a total of $10,00 in two accounts. An equation that represents this is
x + y = 10000
One account (say the first one) earns 14% per year. Recall that the decimal form of 14% is
0.14. An expression for the amount of interest you earn after the first year in this account is
0.14x.
The other account earns 8% per year. The decimal representation of 8% is 0.08. The amount
of interest you earn after one year in this account is 0.08y.
The combine interest from both account after one year is $1238. An equation representing
the total interest earned is
0.14x + 0.08y = 1238
Now we have a system of two equations with two variables. We can solve for x and y. Rewrite
the first equation in "y=" form.
x + y = 10000
y = 10000 - x
Substitute 10000-x for y in the second equation.
0.14x + 0.08y = 1238
0.14x + 0.08(10000 - x) = 1238
Solve this equation for x. Use the Distributive Property to clear parentheses.
0.14x + 800 - 0.08x = 1238
Combine like terms (0.14x-0.08x is 0.06x).
0.06x + 800 = 1238
Subtract 800 to both sides to isolate x on the left.
0.06x = 1238 - 800
0.06x = 438
Divide both sides of the equation by 0.06.
x = 438/0.06
x = 7300
In the context of this problem, x=7300 means that you invested $7300 in the first account.
Since you invested a total of $10000, you invested 10000-7300=$2700 in the second account.
Check your work by verifying that these amounts will yield the correct amount of interest.
Substitute 7300 for x and 2700 for y in the interest equation.
0.14x + 0.08y = 1238
0.14(7300) + 0.08(2700) = 1238
1022 + 216 = 1238
1238 = 1238
Check!
Hope this helps! Feel free to email if you have any questions about the
Wendell’ Plumbing Supply sold metal piping at $36.50 per 15 yard length. What would
75.4 meter of piping cost? 1.0 meter = 1.09 yards
Ticket
Use the number 45,897,310.
Rearrange the digits in the number so that the 9 is worth
10 times as much.
EXPLAIN your thinking on the line below your angin
Answer:
The rearrangement can be 45, 987 , 310
Step-by-step explanation:
Here, we want to rearrange the number such that 9 is worth 10 times as what it is worth presently
The value of 9 presently is 90,000
So 10 times as worth will be 10 * 90,000 = 900,000
So we can have the new arrangement as;
45, 987, 310
Help please zearn is so hardddd
Answer:
1000-20
Step-by-step explanation:
PLEASE NEED HELP ASSP
Answer:C
Step-by-step explanation:
936,292 round to the nearest ten thousand
Answer:
940,000
Step-by-step explanation:
Since there is a 6 in 936,292, that gives you the right to make the ten thousandth higher if that makes sense
y= -1/3x -9 written in standard form
Answer:
It would be x + 3y = -27.
The ratio of boys to girls in an after school recycling club is 4:7. If there are 20 boys in the recycling club, how many girls are there?
Answer:
There are 35 girls in the recycling club
Step-by-step explanation:
4 boys : 7 girls
20 boys : x girls
In order to get to 20, you have to multiply 4 by 5, so multiply 5 to 7 for the girls.
7(5) = 35
There are 35 girls
Will you do the same thing these students did? What are the other ways that you can help less fortunate people?
What is the distance between the points -30, -10 and -30, 19 in the xy plane?
A: 9 units
B: 20 units
C: 29 units
D: 49 units
Answer:
29 units..
Step-by-step explanation:
well i don't know how to insert an image of the answer...but I did it...its (c): 29 units
Mitchell currently sells stoves for company A at a salary of $12,000 plus a $150 commission for each stove he sells. Company B offers him a position with a salary of $24,000 plus a $50 commission for each stove he sells. How many stoves would Mitchell need to sell for the options to be equal?
tell whether the lines through the given points are parallel, perpendicular, or neither. (-9, 3), (-5, 7) (-11, 6) (-7, 2)
Answer:
did you ever did the answer
Step-by-step explanation:
I need help asap with my math
Answer:
The first and the third one are correct.
Step-by-step explanation:
Answer: 1 & 3 are proportional relationships
The sum of two numbers is 61. The smaller number is 7 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
divide by 2 equals 30.5 minus 7 equals to 23,5
Step-by-step explanation:
smaller is 23,5
B is 37.5
3.
During bad weather, you should travel
the posted speed limit.
A. above
B. below
C. at exactly
D. around
Answer:
Below
Step-by-step explanation:
The reason why "lower than" would be the correct answer is because the DMV (Department of Motor Vehicles) requires that all drivers drive lower than the posted speed limit when the weather is not god.
The reason why you should travel lower than the posted speed limit is because it will keep you and others safe of the road. Bad weather can lead to things like less traction, less vision on the road, and etc.
When you drive slower than the posted speed limit during based weather, you're allowing your self more time to react if something happens, less likely to lose grip, and keeps you and others safe from any accidents.
Like they always say, you should never travel at a speed that's dangerous for the current road conditions.
Do these ratios form a proportion?
3 parents to 10 children
6 parents to 15 children
yes
no
Answer:
nope
Step-by-step explanation:
Answer:
no they are not
How many people are in the set Cn D?
4
6
36
38
Answer: A.) 4 people
Step-by-step explanation:
solve 6 ropes all of equal length have a total length of 27m what is the length of each rope in centimetres
Answer:
* 27x=9 * x=9/27 ithink so srry if you get wrong
Step-by-step explanation:
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5).
What is the x-intercept???
image is there
-4 is the x intercept.as in the values on the x-axis
Answer:
Im pretty sure it the first one
Step-by-step explanation:
What are pyrotechnics? How have pyrotechnics and sounds changed the filming ?
Answer:
Pyrotechnics are self-contained, self -sustained explosions, fires, flames, and fireworks used in live performances, film, and other forms of entertainment. Pyrotechnics/sounds, combined together have changed the filming industry by making special effects more realistic and experiential to the viewer. This has allowed these types of effects to be done safety.
Pyrotechnics are self-contained, self-sustaining explosions, fires, flames, and fireworks.
Here is the question, a definition of pyrotechnics has been asked.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Explosions, fires, flames, and fireworks that are self-contained, and self-sustaining are known as pyrotechnics and are utilized in live performances, movies, and other forms of entertainment. By enhancing the viewer's sense of realism and immersion in the special effects, fireworks and sounds have transformed the cinema industry. This has made it possible to perform these kinds of effects safely.
Thus, Pyrotechnics are self-contained, self-sustaining explosions, fires, flames, and fireworks.
Learn more about arithmetic here:
https://brainly.com/question/11559160
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How many solutions are there to the equation below
7(x+2) = 7x-10
Answer: {No Solution}
Step-by-step explanation:
what is the largest six digit number you can make that ends in an even number using 134569.
Answer:
965314
Step-by-step explanation:
Please mark me brainlest and hope that help (=
7th grade math help me plzzzz
Answer:
a) -16
b)7
c) -4
d) 9
Step-by-step explanation:
by solving
The width of a rectangle is 1 ft less than the length. The area is 30 ft2. Find the length and the width.
Answer:
the anwer is 5*6
What is
41/6
as a mixed number in simplest form?
Enter your answer in the box.
Answer:
6 1/6
Step-by-step explanation:
six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6
a rising unemployment rate affect a society by:
A. discouraging busissnesses from investing
B.making it harder for citizens to find jobs
C. causing inflation rates to rise rapidly.
D.reducing the value of a country's currency
Answer: B
Step-by-step explanation:
just took the quiz
A rising unemployment rate affect a society by making it harder for citizens to find jobs.
What is Unemployment?The term unemployment refers to a situation where a person actively searches for employment but is unable to find work.
As, we know that unemployment means the shortage of jobs for the citizens.
So, rising unemployment rate in society creating trouble for the citizens to find jobs.
Learn more about unemployment here:
https://brainly.com/question/14227610
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Suppose the number of insect fragments in a chocolate bar follows a Poisson process with the expected number of fragments in a 200-gram chocolate bar being 10.2. 15. What is the expected number of insect fragments in 1/4 of a 200-gram chocolate bar? 16. What is the probability that you have to eat more than 10 grams of chocolate bar before nding your rst fragment? 17. What is the expected number of grams to be eaten before encountering the rst fragment?
Answer:
a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55
b)0.6004
c)19.607
Step-by-step explanation:
Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2
X ~ Poisson(A) where [tex]\lambda = \frac{10.2}{200} = 0.051[/tex]
a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar
[tex]\frac{1}{4} \times 200 = 50[/tex]
50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55
So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55
b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment
Let X denotes the number of grams to be eaten before another fragment is detected.
[tex]P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004[/tex]
c)The expected number of grams to be eaten before encountering the first fragments :
[tex]E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 gram[/tex]s
Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place
1 = PRT;1 = 5040, P = 24,000, R=0.07 (Simple interest formula)
Answer:
T = Time = 3 years
Step-by-step explanation:
1 = PRT;
1 = Simple Interest = 5040
P = Principal = 24,000
R = Rate = 0.07
T = Time (years) = ? Unknown variable
Making T subject of the formula
T = 1/PR
T = 5040/24,000 × 0.07
T = 5040/1680
T = 3 years
my daughter need help but i cant give her help because i dont know the answer myself .
Answer:
B and D
Step-by-step explanation:
"Sliding": moving a shape without rotating or flipping it.
The shape still looks exactly the same, just in a different place.
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 s
370 calories by drinking 2 servings of juice and 1 serving of milk. Marian
of milk and 1 soda. Using matrices to solve, how many calories are in
Answer:
B. 110
Step-by-step explanation:
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
A. 90
B. 110
C. 130
D. 180
Answer:
Let x represent the amount of calories in 1 servings of juice, y represent the amount of calories in 1 servings of milk and z represent the amount of calories in 1 servings of Soda.
Joe consumption can be represented by:
x + 2y + z = 530 (1)
Darius consumption can be represented by:
2x + y = 370 (2)
Marian consumption can be represented by:
3y + z = 510 (3)
The equations can be represented in matrix form as:
[tex]\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] ^{-1}\left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}0.33&0.33&-0.33\\-0.67&0.33&0.67\\2&-1&-1\end{array}\right]\left[\begin{array}{c}530\\370\\510\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}130\\110\\180\end{array}\right][/tex]
The amount of calories in one serving of milk is 110 calories